Add 10/75 and 35/70
10/75 + 35/70 is 19/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 70 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
10/75 = 10 × 14/75 × 14 = 140/1050 - Likewise, for the 2nd fraction, since 70 × 15 = 1050,
35/70 = 35 × 15/70 × 15 = 525/1050 - Add the two like fractions:
140/1050 + 525/1050 = 140 + 525/1050 = 665/1050 - 665/1050 simplified gives 19/30
- So, 10/75 + 35/70 = 19/30
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